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Finding the Fourth Proportional to 10,798.25, 14,906.58 and 7,614.14

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Solution

The fourth proportional to 10,798.25, 14,906.58 and 7,614.14 is: 10,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.25 : 14,906.58 = 7,614.14 : x
  2. Step 2: Convert to fraction form
    10,798.25/14,906.58 = 7,614.14/x
  3. Step 3: Cross multiply
    10,798.25x = 14,906.58 × 7,614.14
  4. Step 4: Simplify right side
    10,798.25x = 113,500,787.04
  5. Step 5: Solve for x
    x = 113,500,787.04/10,798.25
  6. Step 6: Final answer
    x = 10,511.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.